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Author ID: vorobev.yu-m Recent zbMATH articles by "Vorob’ev, Yu. M."
Published as: Vorob’ev, Yu. M.; Vorobiev, Yu.; Vorobjev, Yurii; Vorobiev, Yury; Vorobiev, Yuri; Vorobiev, Y. M.; Vorobiev, Yurii; Vorobjev, Yuri; Vorobjev, Yurii M.; Vorobiev, Yuri M.; Vorobiev, Yu. M.; Vorobjev, Yu. M.; Vorob’ev, Yurij; Vorobiev, Yu M.; Vorobjev, Yuriĭ; Vorobjev, Yurij; Vorobjev, Yuriy; Vorobev, Yury; Vorobiev, Y.; Vorobiev, Yu; Vorobjev, Yu
Homepage: https://buhos-api.unison.mx/PureXML/Investigador/Index/28299-YURY%20VOROBEV
External Links: MGP · ORCID · Math-Net.Ru

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 234 times in 154 Documents Cited by Year
Poisson manifolds and the Schouten bracket. Zbl 0667.58018
Vorob’ev, Yu. M.; Karasev, M. V.
74
1988
Coupling tensors and Poisson geometry near a single symplectic leaf. Zbl 1007.53062
Vorobjev, Yurii
27
2001
Higher order corrections to adiabatic invariants of generalized slow-fast Hamiltonian systems. Zbl 1302.37032
Avendaño-Camacho, M.; Vallejo, J. A.; Vorobiev, Yu.
11
2013
Infinitesimal Poisson cohomology. Zbl 0922.58028
Itskov, Vladimir; Karasev, Mikhail; Vorobjev, Yurii
10
1998
Deformations of Poisson structures on fibered manifolds and adiabatic slow-fast systems. Zbl 1379.53097
Avendaño-Camacho, Misael; Vorobiev, Yury
10
2017
Homological equations for tensor fields and periodic averaging. Zbl 1262.37027
Avendaño Camacho, M.; Vorobiev, Y. M.
9
2011
A perturbation theory approach to the stability of the Pais-Uhlenbeck oscillator. Zbl 1426.81051
Avendaño-Camacho, M.; Vallejo, J. A.; Vorobiev, Yu.
9
2017
Quasimodes generated by characters of a dynamical group, and deformation of the Kirillov form. Zbl 0797.58030
Vorob’ev, Yu. M.; Karasëv, M. V.
7
1992
On Poisson realizations of transitive Lie algebroids. Zbl 1362.17047
Vorobiev, Yuri
6
2004
Poisson equivalence over a symplectic leaf. Zbl 1149.53050
Vorobjev, Yurii
5
2005
Invariant Poisson realizations and the averaging of Dirac structures. Zbl 1301.53089
Vallejo, José A.; Vorobiev, Yurii
5
2014
Averaging of Poisson structures. Zbl 1169.53062
Vorobiev, Yuri
4
2008
Adapted connections, Hamilton dynamics, geometric phases, and quantization over isotropic submanifolds. Zbl 0923.58022
Karasev, Mikhail; Vorobjev, Yurii
4
1998
Integral representations over isotropic submanifolds and equations of zero curvature. Zbl 0926.53030
Karasev, Mikhail; Vorobjev, Yuri
4
1998
A simple global representation for second-order normal forms of Hamiltonian systems relative to periodic flows. Zbl 1352.70046
Avendaño Camacho, M.; Vallejo, J. A.; Vorobjev, Yu
3
2013
On the global structure of normal forms for slow-fast Hamiltonian systems. Zbl 1276.70014
Avendaño Camacho, M.; Vorobiev, Yu.
3
2013
Phase splitting for periodic Lie systems. Zbl 1195.37035
Flores-Espinoza, R.; de Lucas, J.; Vorobiev, Yu M.
3
2010
A Hamiltonian approach for skew-product dynamical systems. Zbl 1204.37059
Dávila-Rascón, G.; Vorobiev, Yu. M.
3
2008
Unimodularity criteria for Poisson structures on foliated manifolds. Zbl 1387.53038
Pedroza, Andrés; Velasco-Barreras, Eduardo; Vorobiev, Yury
3
2018
On Lie algebroids and Poisson algebras. Zbl 1242.53102
García-Beltrán, Dennise; Vallejo, José A.; Vorobjev, Yuriĭ
3
2012
On Poisson manifolds and Schouten bracket. Zbl 0644.58002
Vorob’ev, Yu. M.; Karasev, M. V.
2
1988
Corrections to classical dynamics and quantization conditions arising in the deformation of Poisson brackets. Zbl 0676.58026
Vorob’ev, Yu. M.; Karasev, M. V.
2
1988
On the splitting of infinitesimal Poisson automorphisms around symplectic leaves. Zbl 1394.53087
Velasco-Barreras, Eduardo; Vorobiev, Yury
2
2018
On analog of Maslov class in non-Lagrangian case. Zbl 0805.57019
Karasev, Michael; Vorobjev, Yuriy
2
1992
On linearized Poisson structures. Zbl 1039.53093
Vorob’ev, Yu. M.
2
2001
The complex Maslov germ generated by a linear connection. Zbl 0723.58019
Vorob’ev, Yu. M.
2
1990
Infinitesimal Poisson algebras and linearization of Hamiltonian systems. Zbl 1454.53066
Ruíz-Pantaleón, J. C.; García-Beltrán, D.; Vorobiev, Yu.
2
2020
Quasiclassical quantization of the periodic Toda chain from the point of view of Lie algebras. Zbl 0517.58023
Vorob’ev, Yu. M.; Dobrokhotov, S. Yu.
2
1983
\(G\)-invariant deformations of almost-coupling Poisson structures. Zbl 1362.53090
Vallejo, José Antonio; Vorobiev, Yury
2
2017
On the geometry of slow-fast phase spaces and the semiclassical quantization. Zbl 1470.53073
Avendano-Camacho, M.; Mamani-Alegria, N.; Vorobiev, Y. M.
1
2021
Hamiltonian structures for projectable dynamics on symplectic fiber bundles. Zbl 1263.53075
Dávila-Rascón, Guillermo; Vorobiev, Yuri
1
2013
Hamiltonian formalism for fiberwise linear dynamical systems. Zbl 0984.35052
Flores Espinoza, Ruben; Vorobjev, Yurii
1
2000
On the linearization of Hamiltonian systems on Poisson manifolds. Zbl 1115.53057
Vorob’ev, Yu. M.
1
2005
Poisson structures and linear Euler systems over symplectic manifolds. Zbl 1142.53065
Vorobjev, Yurii
1
2005
Compatible Poisson structures on fibered 5-manifolds. Zbl 1475.53089
Flores-Espinoza, R.; Ruíz-Pantaleón, J. C.; Vorobiev, Yu.
1
2020
Relativistic corrections to elementary Galilean dynamics and deformations of Poisson brackets. Zbl 1027.70026
Flores-Espinoza, Ruben; Vorob’ev, Yu. M.
1
2000
Symplectic curvature and the Arnold form over an isotropic submanifold. Zbl 0889.58034
Karasev, M. V.; Vorobjev, Yu. M.
1
1996
On perturbations of Hamiltonian systems generated by contractions of Lie algebras. Zbl 0980.37015
Vorob’ev, Yurij; Flores Espinoza, Ruben
1
1996
Linear connections for Hamiltonian dynamics over isotropic submanifold. Zbl 0795.58017
Karasev, Michael; Vorobjev, Yurij
1
1994
Deformation and cohomologies of Poisson brackets. Zbl 0722.58017
Vorob’ev, Yu. M.; Karasev, M. V.
1
1990
The method of averaging for Poisson connections on foliations and its applications. Zbl 1456.53064
Avendaño-Camacho, Misael; Hasse-Armengol, Isaac; Velasco-Barreras, Eduardo; Vorobiev, Yury
1
2020
Lie algebroids generated by cohomology operators. Zbl 1330.58014
García-Beltrán, Dennise; Vallejo, José A.; Vorobiev, Yurii
1
2015
On the geometry of slow-fast phase spaces and the semiclassical quantization. Zbl 1470.53073
Avendano-Camacho, M.; Mamani-Alegria, N.; Vorobiev, Y. M.
1
2021
Infinitesimal Poisson algebras and linearization of Hamiltonian systems. Zbl 1454.53066
Ruíz-Pantaleón, J. C.; García-Beltrán, D.; Vorobiev, Yu.
2
2020
Compatible Poisson structures on fibered 5-manifolds. Zbl 1475.53089
Flores-Espinoza, R.; Ruíz-Pantaleón, J. C.; Vorobiev, Yu.
1
2020
The method of averaging for Poisson connections on foliations and its applications. Zbl 1456.53064
Avendaño-Camacho, Misael; Hasse-Armengol, Isaac; Velasco-Barreras, Eduardo; Vorobiev, Yury
1
2020
Unimodularity criteria for Poisson structures on foliated manifolds. Zbl 1387.53038
Pedroza, Andrés; Velasco-Barreras, Eduardo; Vorobiev, Yury
3
2018
On the splitting of infinitesimal Poisson automorphisms around symplectic leaves. Zbl 1394.53087
Velasco-Barreras, Eduardo; Vorobiev, Yury
2
2018
Deformations of Poisson structures on fibered manifolds and adiabatic slow-fast systems. Zbl 1379.53097
Avendaño-Camacho, Misael; Vorobiev, Yury
10
2017
A perturbation theory approach to the stability of the Pais-Uhlenbeck oscillator. Zbl 1426.81051
Avendaño-Camacho, M.; Vallejo, J. A.; Vorobiev, Yu.
9
2017
\(G\)-invariant deformations of almost-coupling Poisson structures. Zbl 1362.53090
Vallejo, José Antonio; Vorobiev, Yury
2
2017
Lie algebroids generated by cohomology operators. Zbl 1330.58014
García-Beltrán, Dennise; Vallejo, José A.; Vorobiev, Yurii
1
2015
Invariant Poisson realizations and the averaging of Dirac structures. Zbl 1301.53089
Vallejo, José A.; Vorobiev, Yurii
5
2014
Higher order corrections to adiabatic invariants of generalized slow-fast Hamiltonian systems. Zbl 1302.37032
Avendaño-Camacho, M.; Vallejo, J. A.; Vorobiev, Yu.
11
2013
A simple global representation for second-order normal forms of Hamiltonian systems relative to periodic flows. Zbl 1352.70046
Avendaño Camacho, M.; Vallejo, J. A.; Vorobjev, Yu
3
2013
On the global structure of normal forms for slow-fast Hamiltonian systems. Zbl 1276.70014
Avendaño Camacho, M.; Vorobiev, Yu.
3
2013
Hamiltonian structures for projectable dynamics on symplectic fiber bundles. Zbl 1263.53075
Dávila-Rascón, Guillermo; Vorobiev, Yuri
1
2013
On Lie algebroids and Poisson algebras. Zbl 1242.53102
García-Beltrán, Dennise; Vallejo, José A.; Vorobjev, Yuriĭ
3
2012
Homological equations for tensor fields and periodic averaging. Zbl 1262.37027
Avendaño Camacho, M.; Vorobiev, Y. M.
9
2011
Phase splitting for periodic Lie systems. Zbl 1195.37035
Flores-Espinoza, R.; de Lucas, J.; Vorobiev, Yu M.
3
2010
Averaging of Poisson structures. Zbl 1169.53062
Vorobiev, Yuri
4
2008
A Hamiltonian approach for skew-product dynamical systems. Zbl 1204.37059
Dávila-Rascón, G.; Vorobiev, Yu. M.
3
2008
Poisson equivalence over a symplectic leaf. Zbl 1149.53050
Vorobjev, Yurii
5
2005
On the linearization of Hamiltonian systems on Poisson manifolds. Zbl 1115.53057
Vorob’ev, Yu. M.
1
2005
Poisson structures and linear Euler systems over symplectic manifolds. Zbl 1142.53065
Vorobjev, Yurii
1
2005
On Poisson realizations of transitive Lie algebroids. Zbl 1362.17047
Vorobiev, Yuri
6
2004
Coupling tensors and Poisson geometry near a single symplectic leaf. Zbl 1007.53062
Vorobjev, Yurii
27
2001
On linearized Poisson structures. Zbl 1039.53093
Vorob’ev, Yu. M.
2
2001
Hamiltonian formalism for fiberwise linear dynamical systems. Zbl 0984.35052
Flores Espinoza, Ruben; Vorobjev, Yurii
1
2000
Relativistic corrections to elementary Galilean dynamics and deformations of Poisson brackets. Zbl 1027.70026
Flores-Espinoza, Ruben; Vorob’ev, Yu. M.
1
2000
Infinitesimal Poisson cohomology. Zbl 0922.58028
Itskov, Vladimir; Karasev, Mikhail; Vorobjev, Yurii
10
1998
Adapted connections, Hamilton dynamics, geometric phases, and quantization over isotropic submanifolds. Zbl 0923.58022
Karasev, Mikhail; Vorobjev, Yurii
4
1998
Integral representations over isotropic submanifolds and equations of zero curvature. Zbl 0926.53030
Karasev, Mikhail; Vorobjev, Yuri
4
1998
Symplectic curvature and the Arnold form over an isotropic submanifold. Zbl 0889.58034
Karasev, M. V.; Vorobjev, Yu. M.
1
1996
On perturbations of Hamiltonian systems generated by contractions of Lie algebras. Zbl 0980.37015
Vorob’ev, Yurij; Flores Espinoza, Ruben
1
1996
Linear connections for Hamiltonian dynamics over isotropic submanifold. Zbl 0795.58017
Karasev, Michael; Vorobjev, Yurij
1
1994
Quasimodes generated by characters of a dynamical group, and deformation of the Kirillov form. Zbl 0797.58030
Vorob’ev, Yu. M.; Karasëv, M. V.
7
1992
On analog of Maslov class in non-Lagrangian case. Zbl 0805.57019
Karasev, Michael; Vorobjev, Yuriy
2
1992
The complex Maslov germ generated by a linear connection. Zbl 0723.58019
Vorob’ev, Yu. M.
2
1990
Deformation and cohomologies of Poisson brackets. Zbl 0722.58017
Vorob’ev, Yu. M.; Karasev, M. V.
1
1990
Poisson manifolds and the Schouten bracket. Zbl 0667.58018
Vorob’ev, Yu. M.; Karasev, M. V.
74
1988
On Poisson manifolds and Schouten bracket. Zbl 0644.58002
Vorob’ev, Yu. M.; Karasev, M. V.
2
1988
Corrections to classical dynamics and quantization conditions arising in the deformation of Poisson brackets. Zbl 0676.58026
Vorob’ev, Yu. M.; Karasev, M. V.
2
1988
Quasiclassical quantization of the periodic Toda chain from the point of view of Lie algebras. Zbl 0517.58023
Vorob’ev, Yu. M.; Dobrokhotov, S. Yu.
2
1983
all top 5

Cited by 165 Authors

24 Vorob’ev, Yu. M.
12 Avendaño-Camacho, Misael
8 Ruíz-Pantaleón, José Crispín
6 Karasev, Mikhail Vladimirovich
6 Mǎrcuţ, Ioan
5 Suárez-Serrato, Pablo
4 Evangelista-Alvarado, Miguel Ángel
4 Frejlich, Pedro
4 Levendorskiĭ, Sergeĭ Zakharovich
4 Maslov, Viktor Pavlovich
4 Mimachi, Katsuhisa
4 Noumi, Masatoshi
4 Vallejo, José Antonio
4 Velasco-Barreras, Eduardo
3 de Lucas, Javier
3 Fernandes, Rui Loja
3 Floreanini, Roberto
3 Masuda, Tetsuya
3 Nakagami, Yoshiomi
3 Sardón, Cristina
3 Soibelman, Yan S.
3 Vaisman, Izu
3 Vinet, Luc
2 Atakishiev, Natig M.
2 Bibikov, Petr N.
2 Cariñena, José F.
2 Crainic, Marius
2 Dai, Jialiang
2 García-Beltrán, Dennise
2 Kaparulin, Dmitry S.
2 Khesin, Boris A.
2 Khovanskiĭ, Askold Georgievich
2 Korogodsky, Leonid I.
2 Kubarski, Jan
2 Kulish, Petr Petrovich
2 Mamani-Alegria, N.
2 Mishchenko, Aleksandr Sergeevich
2 Reshetikhin, Nikolai Yu.
2 Saburi, Yutaka
2 Torres Orozco, J.
2 Ueno, Kimio
2 Vaksman, Leonid L’vovich
2 Vera, Ramón
2 Veselov, Alexander Petrovich
2 Weinstein, Alan David
2 Zambon, Marco
1 Arakawa, Tomoyuki
1 Arnal, Didier
1 Artamonov, Vyacheslav Aleksandrovich
1 Arutyunov, Gleb Eduardovich
1 Bagrov, Vladislav G.
1 Barbaresco, Frédéric
1 Bavula, Vladimir V.
1 Belov, Vladimir Vasilyevich
1 Ben Ammar, Mabrouk
1 Bolotin, Sergeĭ Vladimirovich
1 Boroojerdian, Naser
1 Bovdi, Victor A.
1 Brahic, Olivier
1 Brambila, Lilian Cordeiro
1 Chernyshev, Vsevolod L.
1 Chuburin, Yuriĭ Pavlovich
1 Colin de Verdière, Yves
1 Dali, Béchir
1 Damaskinskij, E. V.
1 Dávila Rascón, Guillermo
1 Dobrokhotov, Sergei Yurievich
1 Enriquez, Benjamin
1 Fazlytdinov, Marat Flyurovich
1 Feng, Ping
1 Firsova, Natalie E.
1 Frasca, Marco
1 Frenkel, Edward V.
1 Frenkel, Igor B.
1 Fring, Andreas
1 Furlan, Paolo
1 García-Mendoza, Claudio César
1 Geudens, Stephane
1 Ghoshal, Anish
1 Ginzburg, Viktor L’vovich
1 Gorskiĭ, Aleksandr Sergeevich
1 Grabowski, Janusz
1 Hasse-Armengol, Isaac
1 Itskov, V. M.
1 Jiang, Cuipo
1 Jurčo, Branislav
1 Kac, Victor
1 Karataeva, I. Yu.
1 Kirillov, A. I.
1 Kirillov, Anatol N.
1 Klevin, A. I.
1 Kolokoltsov, Vassili N.
1 Kondrat’eva, M. F.
1 Kornilov, E. I.
1 Korotyaev, Evgeny L.
1 Koshelev, Alexey S.
1 Kosmas, Odysseas
1 Kozyrev, Sergeĭ Vladimirovich
1 Kravchenko, O. S.
1 Lance, E. Christopher
...and 65 more Authors
all top 5

Cited in 52 Serials

20 Theoretical and Mathematical Physics
14 Communications in Mathematical Physics
12 Functional Analysis and its Applications
10 Letters in Mathematical Physics
10 Russian Journal of Mathematical Physics
9 Journal of Mathematical Physics
6 Mathematical Notes
4 Journal of Geometry and Physics
4 Advances in Mathematics
4 Journal of Mathematical Sciences (New York)
3 Annales de l’Institut Fourier
3 Annals of Global Analysis and Geometry
2 Nuclear Physics. B
2 Journal of Soviet Mathematics
2 Mathematische Annalen
2 Proceedings of the Japan Academy. Series A
2 Differential Geometry and its Applications
2 Indagationes Mathematicae. New Series
2 Lobachevskii Journal of Mathematics
2 International Journal of Geometric Methods in Modern Physics
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Journal of Physics A: Mathematical and Theoretical
2 Journal of Geometric Mechanics
1 Classical and Quantum Gravity
1 International Journal of Theoretical Physics
1 Physics Letters. B
1 Ukrainian Mathematical Journal
1 Acta Mathematica
1 Acta Mathematica Vietnamica
1 American Journal of Mathematics
1 Inventiones Mathematicae
1 Journal of Differential Equations
1 Pacific Journal of Mathematics
1 Acta Applicandae Mathematicae
1 Acta Mathematicae Applicatae Sinica. English Series
1 \(K\)-Theory
1 Revista Matemática Iberoamericana
1 Computational Mechanics
1 International Journal of Mathematics
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Revista Matemática Complutense
1 Journal of Nonlinear Mathematical Physics
1 Iranian Journal of Science and Technology. Transaction A: Science
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Central European Journal of Mathematics
1 Mathematics in Computer Science
1 Journal of Noncommutative Geometry
1 Science China. Mathematics
1 Journal of Singularities
1 Symmetry
1 Iranian Journal of Mathematical Sciences and Informatics
1 Journal of Computational Dynamics

Citations by Year